Answer:
Answer is 268435456
Step-by-step explanation:
use an = a × ^r n-1 to find the sequence
The 15th term of the given geometric progression sequence 1, -4, 16, ... will be 268435456.
What is geometrical progression series?A geometric progression is a sequence in which any element after the first is obtained by multiplying the previous element by a constant which is called a common ratio denoted by r.
For example, the sequence 1, 4, 16, 64,… is a geometric sequence with a common ratio of r = 4.
As per the given sequence,
1, -4, 16, ...
First term a = 1
Common ratio r = -4/1 = -4
The nth term is given as ar^(n - 1)
Therefore, the 15th term will be as,
a₁₅ = 1(-4)¹⁵⁻¹
a₁₅ = -4¹⁴ = 268435456
Hence "The 15th term of the given geometric progression sequence 1, -4, 16, ... will be 268435456".
For more information about the geometrical progression,
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Need help with math questions. :) Please help me answer them... I will give brainless
Answer:
7.)
a. y = -3x+3
b. y = 3x + 4
c. y = x + 3 (not sure about this one)
8.)
x = 63
y = 6
6.)
left an attachment (not sure about the growth triangle though)
5.)
Red Line - slope = -2
y-in = 1
Blue Line - slope = (1/2) or 0.5
y-in = 3
Green Line - slope = (-2/3) or 0.667
y-in = -4
Step-by-step explanation:
Sorry it took me so long
4/5 x 45 this is due in in tree min
A teapot is 1/3 full of tea. When all of the tea is poured into an empty container, the container is 2/3 full. What fraction of the tea from a full cup is needed to fill 1 entire container?
1. Set up a proportion and use it to solve for X.
16
12
X
Solve the system of linear equations by substitution. Check your solution.
Answer:
(x,y)= (- 2, - 1)
Step-by-step explanation:
The tread life of a particular brand of tire is a random variable best described by a normal distribution with a mean of 60,000 miles and a standard deviation of 8,300 miles. What proportion of these tires last between 40,000 and 45,000 miles
Answer:
P [ 40000 ≤ X ≤ 45000 ] = 0,02773 or 2,8 %
Step-by-step explanation:
P [ 40000 ≤ X ≤ 45000 ] = ?
To find the probablity P [ X ≤ 40000 ] = ?
z(s) = ( X - x ) / σ
z(s)= ( 40000 - 6000 )/ 8300
z(s) = -20000/8300
z(s) ≈ - 2,41
Then
from z-table we find P [ X ≤ 40000] = 0,00820
Now again:
For P [ X ≤ 45000 ]
z₂ = ( X - x ) / σ
z₂ = ( 45000 - 6000 ) / 8300
z₂ = - 15000 / 8300
z₂ = - 1,8072
z₂ ≈ 1,81
From z - table
For P [ X ≤ 45000 ] = 0,03593
Then:
P [ 40000 ≤ X ≤ 45000 ] = 0,03593 - 0,00820
P [ 40000 ≤ X ≤ 45000 ] = 0,02773 or 2,8 %
If lia has 1,00000$ and she spend 2,000 on her nails and feet to get done then.She buys new chanel shoes that cost 1,000 and then buys 400$ worth of clothes how much money will be left? Pls help
Answer:she will have 96,600
Step-by-step explanation:
Hope this helps
tangent 25 = x/15 rounded to nearest tenth
Answer:
Value of x = 7.0 units.
Step-by-step explanation:
Given the trigonometric equation
[tex]\tan \left(25^{\circ }\right)=\frac{x}{15}[/tex]
Switch sides
[tex]\frac{x}{15}=\tan \left(25^{\circ \:}\right)[/tex]
Multiply both sides by 15
[tex]\frac{15x}{15}=15\tan \left(25^{\circ \:}\right)[/tex]
Simplify
[tex]x=15\tan \left(25^{\circ \:}\right)[/tex]
∵ tan (25) = 0.46630
Thus,
x = 7.0 (rounded to nearest tenth)
Therefore, value of x = 7.0 units.
Suppose the either grade goes on a field trip; 283 students and 10 teachers. Each bus holds 72 people and costs $610. How much money is needed? Explain how you reused your model.
Answer:
228750
Step-by-step explanation:
283×610=172630
10×610=6100
82×610=50020
Please Help
a in a complete sentence, describe the angle relationship in the diagram
nine times a number decreased by four
Answer: 9x - 4
Step-by-step explanation:
We know that a number must be decreased by four. Let's break it up a little.
Nine times some number. We don't know what nine will be multiplied by, so we will just write a placeholder number: x. This number will be multiplied by nine. So it will turn into 9x.
We must decrease (subtract) from this by four. Subtracting 9x by four can be written as 9x - 4.
Oscar wants to rent a boat. The rental company charges an initial fee of $12 plus $8 per hour to rent the boat.
a) Write a linear equation to describe the total cost of renting the boat.
b) What is the cost of renting the boat for 5 hours?
i need points pleaseeeeeeeeee
Answer:
a) y=8x+12
b) $52
Step-by-step explanation:
for a)
the linear cost of this equation is 8, since is asks this amount per hour. The constant is 12, a one time fee. to form the equation, you would use the formula y=mx+b, and substituted in with the given, you get y=8x+12.
for b)
in b, it asks for the cost of renting the boat when x=5, renting the boat for 5 hours. all you have to do is plug in 5 in place of the x in the equation:
y=8x+12
y=8(5)+12
y=40+12
y=52
y - 4= -8 (x - 1)
linear or nonlinear?
Use the distributive property to rewrite the expression in factor form. 18h - 33
Answer:
you have to factor 3 out of 18h-33 so you get 3(6h-11)
Adam is making mini berry pies. For the filling, he mixes 1 pound each of raspberries,
blueberries, and blackberries. Then, he scoops 6 ounces of the filling into each mini pie tin. If
he wants to use up all of his filling, how many mini pies can he make?
Answer:
8 pies.
Step-by-step explanation:
What is greater than 525.06 but less than 525.6?
Answer:
A
Step-by-step explanation:
Using the equation y = 2x – 3, what would the input need to be for an output of 7?
Answer:
5
Step-by-step explanation:
We have an equation and are asked to find the input of x when y = 7.
The output = y = 7
The input = x
7 = 2x - 3
2x - 3 = 7
We need to find a number that multiplied by 2 which then is subtracted by 3 equals 7. We can use the backwards method to solve our answer.
2x - 3 = 7
7 + 3 = 2x
10 = 2x
Solve for x by dividing 2 from both sides :
x = 5.
Therefore, you would need an input of 5 to get 7 as the output.
Proof :
2(5) - 3 = 7
10 - 3 = 7
Answer:
x = 5
Step-by-step explanation:
Remark
This is a fancy way of asking you what is the value of x when y = 7
Equation
7 = 2x - 3
Solution
7 = 2x - 3 Add 3 to both sides
7 + 3 = 2x Combine the left.
10 = 2x Divide by 2
2x/2 = 10/2
x = 5
Multiply.
(3x + 1)(x + 7)
Answer:
the answer is 3x^2 + 22x + 7
Step-by-step explanation:
Expand the polynomial using the FOIL method.
hoped this helped!
brainly, please?
Answer:
3x^2+22x+7
Step-by-step explanation:
11.
(a) a radius 10.00
(bla diameter 17.5cm
2. Find the area in hectares of a rectangular piece of land
1.25km by 0.75km.
Answer:
Step-by-step explanation:
1.25 km × 0.75 km = 0.9375 km²
1 km = 100 hectares
0.9375 km² = 93.75 hectares²
Please Help me with X and Y
Answer:
a) x = 69°
b) y = 69°
Step-by-step explanation:
a. Given that AB and CD are parallel lines, therefore:
x = 69° (alternate interior angles are congruent to each other)
b. y + 111° = 180° (consecutive interior angles are supplementary)
y = 180° - 111° (substraction property of equality)
y = 69°
Pls help 20 points this question is for my friend
Answer:
750 cubic feet
Step-by-step explanation:
Which of the following are factorable? Select the two correct answers. (2 points)
O Z2 – 21 – 15
22 +51 +2
22 – 51 +3
O2? +61 + 8
Answer:
First and last
Step-by-step explanation:
Find the what will multiple to the last number and add to the second number.
Complete the ratio table with the numbers:
A) 18, 6, 44, 10
B) 20, 5, 45, 10
C) 24, 5, 48, 4
D) 28, 6, 44, 9
Answer:
C
24, 5, 48, 4 because blue is 6 times green
Step-by-step explanation:
Hope this helps
plzzzzzzzzzzzzzzzzzzz helppppppppppppp meeeeeeeeee
Answer:
2m+14
Step-by-step explanation:
I hope its right
Answer:
2(m+14)
Step-by-step explanation:
m represents how much Ashton has.
-add 14 to how much Ashton has
(m+14) represents how much Riley has.
-multiply how much RIley has by 2
2(m+14) represents how much Peyton has.
-8.5n = 17
pls help me
Which pair of numbers has 2 as its greatest common factor
Answer:
6 and 12 have the greatest common factor of 2
Answer:
4
Step-by-step explanation:
5.7 + 2(w + 1) = 2w + 9
- 8(4 + 9r) = 7(- 2 - 11r)
Answer:
Step-by-step explanation:
5.7 + 2(w+1) = 2w + 9
5.7 + 2w + 2 = 2w + 9
7.7 = 9, which is impossible, so there is no solution.
:::::
-8(4+9r) = 7(-2-11r)
-32-72r = -14-77r
5r = 18
r = 3.6
What additional information must be known to prove the triangles similar by SAS?
Answer:
We must know what DF and JK are.
Step-by-step explanation:
SAS similarity is when two sides are proportional and the corresponding angles are congruent.
K and F are congruent (A)
KL and GF seem to have a proportion of 5/6 or 6/5 (S)
We need the other S to prove SAS.
Solve the system of equations
y equals 5 x plus 4
y equals 7 x plus 6
Answer:
x = -1 , y = -1
Step-by-step explanation:
We have system of equations and are asked to solve them.
We are looking for x and y, since both equations start with y, we can plug one to the other.
y = 5x + 4
y = 7x + 6
5x + 4 = 7x + 6
Now isolate x byitself to get x :
5x + 4 = 7x + 6
Subtract 4 from both sides :
5x = 7x + 2
Subtract 7x from both sides :
-2x = 2
Divide -2 by both sides :
x = -1
Now that we know what x is, we can substitute it into the equations seapraretly.
y = 5(-1) + 4
y = 7(-1) + 4
y = -5 + 4
y = -7 + 6
-5 + 4
-1
-7 + 6
-1
Therefore, both x and y equal -1
Step-by-step explanation:
5x4=20
7×6=42[tex]5 \times 4 = 20[/tex]A light bulb consumes 3600 watt hours per day how long does it take to consume 15300 watt-hours
Answer:
4.25 days
Step-by-step explanation:
Divide 15300 by 3600 to get the amount of time it takes. It takes 4.25 days for the bulb to consume 15300 watt-hours.
Answer:
11700
Step-by-step explanation:
15300-3600=11700